It can add maybe a couple tenths of mph in my experience - it also helps keep the rear end down (more spring)
2.3-2.4 60' .... damn son that's like two tenths worse than what I was doing in my 160hp 2000 civic on Kumho 712's back in the stone age you need to find the positions between 0 and 100% on the throttle
If you follow the old rule of thumb that a tenth off the 60' = at least 1.5 tenths off the ET, you ought to be able to get down into the low 12's with a half-decent launch.
Also, you might be better off not using LC on a street tire from what I read on here it can be a smoke show without good traction, not that that helps you lol
All season tires are not necessarily worse than high performance street tires for traction on a prepped strip, but in low-profile sizes I agree a stickier compound probably helps more than a squishy all-season sidewall. And new street tires almost always > old aged-out work-hardened street tires